The medical professor in charge of the hostages, Hagai Levine, spoke of the “brutal, inhumane conditions’’ of Hamas captivity.
WAFA reported that six people were killed in an Israeli attack on a building in the city.
Mr Blinken said Israel had accepted Mr Biden’s proposal, and they were critical of putting it forward.
Some 110,000 people have left Rafah in the south of the Gaza Strip since the Israeli army started advancing on the city.
According to the military, about 700,000 people have already left.
The targets were reported to have included command centres, tunnel shafts and rocket-launching pads in the middle of residential areas in the Gaza Strip.
